Identification of response functions from axisymmetric membrane inflation tests: Implications for biomechanics

Hsu, FangHua; Schwab, Christoph; Rigamonti, Daniele; Humphrey, Jay D.

doi:10.1016/0020-7683(94)90021-3

Cited by 55 publications

(26 citation statements)

References 21 publications

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“…Although the strains in the present experiments were too small, it is likely that crystallization transpires during Treloar's measurements at higher strains. Since the strain energy function used in previous modeling efforts 1,[11][12][13][14][15][16][17][18][19][20]22 excludes this effect, discrepancies between theoretical predictions and Treloar's results may be expected for higher strains.…”

Section: Resultsmentioning

confidence: 99%

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Strains in an Inflated Rubber Sheet

Mott

Roland

Hassan

2003

Rubber Chemistry and Technology

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A technique to measure the strain distribution of an inflated membrane is described, and applied to natural rubber inflated to pole biaxial strains of 12%, 26%, and 33%. The radial strain was found to be nearly constant over the entire surface, while the circumferential strain falls to zero at the edge. Thus, biaxial deformation is limited to a narrow region in the vicinity of the pole. These results are quite different from (the very limited) data published previously. The stressstrain behavior was also measured in uniaxial tension, and the strain distribution of the inflated membrane calculated using finite elements. The experiment results and the modeling were in good agreement.

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Section: Resultsmentioning

confidence: 99%

“…Taber 17 investigated the transition to thick membranes. Recently, Hsu et al 18 converted the problem to two-dimensional elasticity.…”

Section: Introductionmentioning

confidence: 99%

Strains in an Inflated Rubber Sheet

Mott

Roland

Hassan

2003

Rubber Chemistry and Technology

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“…For axisymmetric membranes, however, the principal (i.e., meridional and circumferential) Cauchy stress resultants T i can be found in closed form (109) and shown to depend directly on transmural pressure P and principal curvatures κ and κ 2 , not overall size: (2) Indeed, the continuing neglect of curvature is probably one reason why there is so much controversy over the elusive critical size (cf. 42,43).…”

Section: Prior Biomechanical Analyses Intracranial Saccular Aneurysm mentioning

confidence: 99%

Intracranial and Abdominal Aortic Aneurysms: Similarities, Differences, and Need for a New Class of Computational Models

Humphrey

Taylor

2008

Annu. Rev. Biomed. Eng.

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269

238

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Intracranial and abdominal aortic aneurysms result from different underlying disease processes and exhibit different rupture potentials, yet they share many histopathological and biomechanical characteristics. Moreover, as in other vascular diseases, hemodynamics and wall mechanics play important roles in the natural history and possible treatment of these two types of lesions. The goals of this review are twofold: first, to contrast the biology and mechanics of intracranial and abdominal aortic aneurysms to emphasize that separate advances in our understanding of each disease can aid in our understanding of the other disease, and second, to suggest that research on the biomechanics of aneurysms must embrace a new paradigm for analysis. That is, past biomechanical studies have provided tremendous insight but have progressed along separate lines, focusing on either the hemodynamics or the wall mechanics. We submit that that there is a pressing need to couple in a new way the separate advances in vascular biology, medical imaging, and computational biofluid and biosolid mechanics to understand better the mechanobiology, pathophysiology, and treatment of these lesions, which continue to be responsible for significant morbidity and mortality. We shall refer to this needed new class of computational tools as Fluid-Solid-Growth (FSG) Models.

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“…These studies demonstrated the nonlinear behavior over finite strains that are typical for soft biological tissues. Hsu et al (1994Hsu et al ( , 1995 studied the pressure-deformation behavior of two ICAs harvested as a whole from cadavers. They proposed the nonlinear theory of elastic membranes as an appropriate theoretical framework for saccular aneurysms.…”

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confidence: 99%

Inverse method of stress analysis for cerebral aneurysms

Zhou

Raghavan

2007

Biomech Model Mechanobiol

130

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We present a method for predicting the wall stress in a class of cerebral aneurysms. The method hinges on an inverse formulation of the elastostatic equilibrium problem; it takes as the input a deformed configuration and the corresponding pressure, and predicts the wall stress in the given deformed state. For a membrane structure, the inverse formulation possesses a remarkable feature, that is, it can practically determine the wall tension without accurate knowledge of the wall elastic properties. In this paper, we present a finite element formulation for the inverse membrane problem and perform material sensitivity studies on idealized lesions and an image-based cerebral aneurysm model.

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Identification of response functions from axisymmetric membrane inflation tests: Implications for biomechanics

Cited by 55 publications

References 21 publications

Strains in an Inflated Rubber Sheet

Strains in an Inflated Rubber Sheet

Intracranial and Abdominal Aortic Aneurysms: Similarities, Differences, and Need for a New Class of Computational Models

Inverse method of stress analysis for cerebral aneurysms

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